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Finding the Fourth Proportional to 309,825.80, 464,738.70 and 291,163.40

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Solution

The fourth proportional to 309,825.80, 464,738.70 and 291,163.40 is: 436,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,825.80 : 464,738.70 = 291,163.40 : x
  2. Step 2: Convert to fraction form
    309,825.80/464,738.70 = 291,163.40/x
  3. Step 3: Cross multiply
    309,825.80x = 464,738.70 × 291,163.40
  4. Step 4: Simplify right side
    309,825.80x = 135,314,900,003.58
  5. Step 5: Solve for x
    x = 135,314,900,003.58/309,825.80
  6. Step 6: Final answer
    x = 436,745.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.